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Finding the Fourth Proportional to 613.54, 845.71 and 416.71

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Solution

The fourth proportional to 613.54, 845.71 and 416.71 is: 574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.54 : 845.71 = 416.71 : x
  2. Step 2: Convert to fraction form
    613.54/845.71 = 416.71/x
  3. Step 3: Cross multiply
    613.54x = 845.71 × 416.71
  4. Step 4: Simplify right side
    613.54x = 352,415.81
  5. Step 5: Solve for x
    x = 352,415.81/613.54
  6. Step 6: Final answer
    x = 574.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.